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On asymptotic failure rates in bivariate frailty competing risks models

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  • Finkelstein, Maxim
  • Esaulova, Veronica

Abstract

A bivariate competing risks problem is considered for a rather general class of survival models. The lifetime distribution of each component is indexed by a frailty parameter. Under the assumption of conditional independence of components the correlated frailty model is considered. The explicit asymptotic formula for the mixture failure rate of a system is derived. It is proved that asymptotically, as t-->[infinity], the remaining lifetimes of components tend to be independent in the defined sense. Some simple examples are discussed.

Suggested Citation

  • Finkelstein, Maxim & Esaulova, Veronica, 2008. "On asymptotic failure rates in bivariate frailty competing risks models," Statistics & Probability Letters, Elsevier, vol. 78(10), pages 1174-1180, August.
  • Handle: RePEc:eee:stapro:v:78:y:2008:i:10:p:1174-1180
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    Cited by:

    1. Elizabeth Wrigley-Field, 2020. "Multidimensional Mortality Selection: Why Individual Dimensions of Frailty Don’t Act Like Frailty," Demography, Springer;Population Association of America (PAA), vol. 57(2), pages 747-777, April.

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